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Finding the Third Proportional to 31,556.50 and 68,033.75

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Solution

The third proportional to 31,556.50 and 68,033.75 is: 146,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,556.50 : 68,033.75 = 68,033.75 : x
  2. Step 2: Convert to fraction form
    31,556.50/68,033.75 = 68,033.75/x
  3. Step 3: Cross multiply
    31,556.50x = 68,033.75 × 68,033.75
  4. Step 4: Simplify right side
    31,556.50x = 4,628,591,139.06
  5. Step 5: Solve for x
    x = 4,628,591,139.06/31,556.50
  6. Step 6: Final answer
    x = 146,676.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.